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Two circles of unequal radii have four common tangents. A transverse common tangent meets the direct common tangents at the points P & Q. If length of direct tangent (between the point of contacts) is 8 then length of PQ is

Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :`PA=PR=8-a` <br/> So `PQ=8-a+b` <br/> <a href="https://interviewquestions.tuteehub.com/tag/also-373387" style="font-weight:bold;" target="_blank" title="Click to know more about ALSO">ALSO</a> `QD=QR=8-b` <br/> So `QP=8-b+a` <br/> `8-a+b=8-b+a` <br/> `impliesa=b` <br/> `PQ=8` <br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/FIT_JEE_FT1_P1_E01_067_S01.png" width="80%"/></body></html>


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